Power Synthesis Thechnique of planar Arrays with Mutual Coupling Compensation

A technique for the power synthesis of planar arrays, exploiting the port admittance matrix to agreement [or the mutual coupling between radiating elements, is presented. The technique is based on a generalized projection algorithm, requires the minimization of a suitably denied objective functional and allows also to handle constraints on the excitation coefficients. To mitigate the problem of the trapping of the solution algorithm by a local minimum of the objective functional, the squared amplitude of both the far field components and excitation voltages are exploited in defining the objective functional. This choice makes it possible to manage a quartic functional, whose geometrical properties affects favorably the local minimum problem. Numerical results show the effectiveness of the approach and the decisive role played by the inclusion of the mutual coupling effects in ensuring the reliability of the synthesis procedure.